Answer
$A=2w^2$
Work Step by Step
Since the length is $2$ times the width, $w$, we must multiply $w$ by $2$ to find the length. This gives us a length of $2w$. The formula for area of a rectangle is: $A=lw$, where $l$ is the length and $w$ is the width. We plug in the values for width and length: $A=2w(w)$
To multiply powers with the same base, we add the exponents:
$A=2 \times w^{1} \times w^{1}\\\\=2w^{1+1}\\\\=2w^{2}$
